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Zhegalkin Zebra Motives Digital Recordings of Mirror Symmetry
Jan Stienstra Department of Mathematics, Utrecht University, P.O. Box 80010, 3508 TA Utrecht, The Netherlands
Abstract:
Zhegalkin zebra motives are tilings of the plane by black and white polygons representing certain ${\mathbb F}_2$-valued functions on ${\mathbb R}^2$. They exhibit a rich geometric structure and provide easy to draw insightful visualizations of many topics in the physics and mathematics literature. The present paper gives some pieces of a general theory and a few explicit examples.
Many more examples will be shown in the forthcoming article “Zhegalkin zebra motives: algebra and geometry in black and white”.
Keywords:
Zhegalkin polynomials; motives; dimer models; mirror symmetry.
Received: May 10, 2018; in final form October 2, 2018; Published online October 13, 2018
Citation:
Jan Stienstra, “Zhegalkin Zebra Motives Digital Recordings of Mirror Symmetry”, SIGMA, 14 (2018), 110, 29 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1409 https://www.mathnet.ru/eng/sigma/v14/p110
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Statistics & downloads: |
Abstract page: | 101 | Full-text PDF : | 22 | References: | 21 |
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